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Finding the Third Proportional to 3,085,369,731 and 4,700,241,999

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Solution

The third proportional to 3,085,369,731 and 4,700,241,999 is: 7,160,333,047.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085,369,731 : 4,700,241,999 = 4,700,241,999 : x
  2. Step 2: Convert to fraction form
    3,085,369,731/4,700,241,999 = 4,700,241,999/x
  3. Step 3: Cross multiply
    3,085,369,731x = 4,700,241,999 × 4,700,241,999
  4. Step 4: Simplify right side
    3,085,369,731x = 22,092,274,849,163,517,952
  5. Step 5: Solve for x
    x = 22,092,274,849,163,517,952/3,085,369,731
  6. Step 6: Final answer
    x = 7,160,333,047.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.